Theory and Modern Applications
Table 2 Accuracies in solution values in Example 5.2 with \(\pmb{\eta=100\pi,\delta=30 \pi^{2}}\)
L  + 1 | \(\boldsymbol {\tilde{\alpha}}\) | \(\boldsymbol {\tilde{\beta}}\) | \(\boldsymbol {\mathcal{E}_{\infty}}\) | \(\boldsymbol {\mathcal{E}_{2}}\) | \(\boldsymbol {\Theta_{\infty}}\) | \(\boldsymbol {\Theta_{2}}\) |
|---|---|---|---|---|---|---|
4 | 0 | 0 | 5.82e−02 | 3.52e−02 | – | – |
8 | 0 | 0 | 2.39e−02 | 1.16e−02 | 1.3 | 1.6 |
16 | 0 | 0 | 6.07e−03 | 2.38e−03 | 2.0 | 2.3 |
32 | 0 | 0 | 6.00e−04 | 2.02e−04 | 3.3 | 3.6 |
4 | 0.440 | 0.2900 | 7.39e−02 | 4.01e−02 | – | – |
8 | 0.280 | 0.2700 | 8.58e−03 | 1.59e−03 | 3.1 | 4.7 |
16 | 0.103 | 0.1020 | 2.61e−04 | 8.93e−05 | 4.9 | 4.2 |
32 | 0.000 | 0.0423 | 4.35e−05 | 5.15e−06 | 2.6 | 4.1 |